Fidelity Freedom Index 2060 (FFNOX) is not the apples to apples comparison to Vanguard's VTSAX.
The Freedom Fund is a blended "target date" type of fund. This means it has a mix of stocks and bonds, set to go from stocks heavy to more balanced, to more conservative as you get closer to the date (the supposed retirement year that traditionally meant the investor wanted to preserve the portfolio so the risk levels of higher equity is reduced to a glide path).
Target date funds are fine and Vanguard also has many choices there too. The only difference between them and the regular index fund (like the ones mentioned below) are they are slightly higher expense ratios because there is a minimum amount of management activity doing the rebalancing as the years go by.
If you want straight ticket stock market index funds (like VTSAX) and you want to go with Fido, that would be their Fidelity Total Market Index fund (FSTVX for premium class, 10K minimum, just like VTSAX admiral level). It has an expense ratio of 0.035%, which is cheaper than Vanguard's VTSAX by about 5¢ per thousand. They are determined to stay competitive and had to introduce index funds a while back to keep up with Vanguard and keep cutting their fees so they are just under Vanguard's comparable funds. So they have a tiny edge over Vanguard by offering their index funds as a loss leader. But Vanguard holds a patent on how they handle their dividend/cap gains right now, so it may be a wash as far as which fund performs the best vs cost - we're likely talking pennies tho).
If you are investing lower amounts than 10K, then you'll want to look at Fidelity Total Market Index Fund Investor Class (FSTMX/minimum investment: $2,500/ER: 0.09%) and Vanguard Total Stock Market Index Fund Investor Shares (VTSMX/minimum investment: $3,000/ER: 0.14%)
Vanguard is great and there is absolutely no reason not to use them, but Fidelity is also a great company
and they do offer similar funds to Vanguard, so it you're more comfortable there, then don't worry too much about using them. The only caution is to avoid their high dollar managed fees and don't let anyone there steer you away from your chosen investments (they're not hard sell in my experience, but they may inquire from time to time if you need any assistance).
I would caution you about investing any money you plan to need intact for something like a house downpayment within a 5 year or under time period. Investing funds you need to hold value to be used in that short a time frame is generally not a good idea, as you may need the total amount during a down time in the market and be pretty upset about having to pull out the money at a loss. If you have a short time horizon, then put it in CDs or even a high interest savings account.
And definitely be aware of the tax implications of what you hold in what kind of accounts. Like you'd may not want bonds or high dividend/cap gains producing funds in a taxable brokerage. See this for what I'm talking about:
https://www.bogleheads.org/wiki/Principles_of_tax-efficient_fund_placementAnd just for giggles, here's the comparison over on Bogleheads for the Fido funds vs Vanguard:
https://www.bogleheads.org/wiki/Fidelity