I agree with Jamesqf that more details are needed. These are some analytic steps I would do in your situation:
1.Decide if you are likely to stay in that house for at least 5 years after you save up the dp, preferably more. If not, stop and keep renting.
2. Do a rent vs. buy calculation --the nytimes has a decent calculator. See the difference in expected cost of renting vs. buying
3. Tweak those findings to see how other anticipated factors not built into the calculator make a difference--e.g., to add to the value of having a house add in the value of selling one of the cars if you plan to do that, reducing car use, savings due to gardening, auto repair, anticipated enjoyment, etc. To add to the value of renting, add e.g., lost opportunity of paying down student loans, anticipated costs of home maintenance if they are not built into the calculator or you expect they will exceed average, closing costs, moving costs, furniture purchases if you plan them etc.
4. If home purchase is still "winning" then make sure you could survive on a bare bones budget on just your salary alone and keep paying off student loans.
5. If home purchase is still winning, then start saving up a downpayment and periodically reconsider/recalculate whether it still makes sense. Make sure when you save your downpayment you still have an adequate cash cushion and/or other no or low interest emergency fund sources for for unexpected expenses.