I am not a financial advisor and I tend to not like risk.
If you don’t have a company 401K you can contribute to, I would recommend you put $6,000 in an IRA if you have not done it already for 2020. You don’t have to do it all at once. That will mean $6,000 of your income will not be taxed if you put the federal limit of $6,000 in. So, if you made $40,000 this year, you will take off the $12,000 everyone gets, and also another $6,000 and you will be taxed only on $22,000 income. That is the very simplified explanation. You should read up on IRA’s before you make any assumptions or take any action. If you put your money in an IRA you cannot withdraw the money until you are 591/2 or you will pay a penalty. You can play the stock market or put your money in mutual funds in you IRA account and the earnings will not be taxed until you withdraw the money when you are older.
If you are saving for a house, then the IRA option isn’t good for you probably, although you can put any amount. You could put just $1,000. $1,000 a year for 20 years would be $20,000, and if it is earning interest it would be $24,000 just from low compounding interest. $6,000 contribution yearly at just 1% a year would be you put in $120,000, but you would have $140,000. At 3% you would have $176,000. At higher interest it multiplies fast. Each year you can put whatever amount up to the limit set by the federal government. Right now that is $6,000 for people under age 50.
If all you are getting is .03% interest in some sort of traditional savings account, get out of that. Even if you just earn 1% that would be $250 a year on your $25,000, or $20 a month. Every bit counts. $20 is a tank of gas or more savings. Unfortunately, right now accounts are getting very low interest. Some are offering bonuses. Capital One (an online bank) sometimes offers $400 bonus if you keep $25,000 for 3 months, stuff like that. Keep you eyes open for deals. Chase usually has deals for new accounts. You can maybe open a checking account there and get $250. I think that is their latest deal?
Index funds can be a good idea as mentioned above. Know that October is traditionally a down month in the stock market, never any guarantees though. If you decide to go the IRA route you can move the money and keep it in a money market type of fund (as your core account) that is only earning similar to a bank, and then start investing it when you feel ready. These accounts are usually not insured by the FDIC just so you know. Go with one of the well known companies like Fidelity, Vanguard, Charles Schwab, etc.
I guarantee nothing I said above, it is just what I do with my money. There is a lot of literature available on everything I mentioned. I think start small and as you come to understand more you can do more.