Congratulations on your debt-free-ness!
Bracken_Joy's advice is solid, check out those resources. On a more personal level, you are making a lot of money now! You have a lot of options. This is what I did when I was working on buying a house in a hot market (in my case, California Bay Area), and you are currently a little above my current salary, so the situation is quite similar:
If you have no short term savings goals and the house is the only medium-to-long term goal right now-
Max out that 401 asap! You should have no problem doing this on your salary. Find out what your current contribution is and figure out how much you can reasonably dump in from each paycheck (and still pay payroll taxes and cash flow living expenses like rent and such!) if you have online access and can change your contributions this is really easy. In fact, I did this a few months ago, and my next paycheck will have my last 401k contribution for 2018. (I did this because I am not sure I am staying in this job. For you I would do it to simplify the rest of the year, and then next year (if you are comfortable in the your job and not planning on leaving), calculate out how much should be taken from each payment to max out that 401k over the course of the year at the very beginning of the year and set it and forget it.) Make sure that your 401k is in a fund that is low expense ratio (as low as you can get with your provider - hopefully you can get an index fund of some sort).
Once the 401k is maxed, open an IRA and max it (you can do this through Vanguard, Fidelity). There is less urgency on that since you can contribute through tax day of the following year, but I would do it asap also (without making the rest of your life tough, of course). You are over the income limit to take a deduction for a traditional IRA, but you can still contribute to a Roth AFAIK if you anticipate your income to be < $118k in 2018. If you think it will be lower than the limit next year too, at the start of the year set up a direct deposit to spread out the contributions over the year. Set it and forget it.
I personally would take 10k of your savings and put it into a Capital One 360 Money Market account - it's up to around 1.75% I think now? 10k is the minimum for the MM acct. This is your savings, don't leave any $ in low or no interest bearing savings accounts. You can do direct transfers and access this money in just a few business days, so there's no need to have a separate savings account. I used Capital One 360 (originally ING Orange) when saving for my house. Next year (or even now) set up a direct deposit for some amount to function as your emergency fund (EF). I used $200/mo, but mostly because I was using it as an EF but whenever lumpy high expenses came up I was just cash flowing them and never really pulled money out (except for my house down payment).
Then open a Vanguard taxable account (or Fidelity I suppose, I use Vanguard), and dump all the rest into something simple like Total Market index fund for the moment - you can get fancier later. > $10k will get you Admiral shares with a super low expense ratio. It's super easy to do, you can do it online. If you consistently have extra money in your checking (or whatever account your paycheck goes into), chose an amount and move it to the Vanguard taxable acct on a regular (monthly? quarterly?) basis. You could auto direct deposit this or do it manually, however you are most comfortable.
HSA you are already maxing, so you've got that covered. Keep doing that.
When I bought, I had the luxury of doing so with my (now-ex) BF, so I only had to come up with half the down payment. Still, that was quite high being the SF Bay Area. I used most of the money in my Capital One 360 account, and pulled a good chunk out of my taxable Vanguard account as well. In my mind, I could have used some Roth IRA funds too (you can withdraw contributions with no penalty), if I had to, but I didn't need to.
The best way (IMO) to meet your goal is to automate all the contributions to these accounts. The money just flows into them without you ever doing anything (once you get it sorted). You become comfortable on your smaller living expenses, and it's just normal. Meanwhile your money is working for you. For me it looked like this (this year):
401k - 20% (~$700 per biweekly paycheck)
Vanguard IRA - $550/mo
Capital One 360 - $200/mo
Vanguard taxable - I didn't automate this but I moved money when I was comfortable with the amount in my checking acct.
Just remember, the money is not locked away, you certainly can get to it under certain circumstances.
Good luck!! You can do it, even in a hot market!! :)