If you are very hard pressed on the budget then there are some good HTIB’s that you can go for from Yamaha and Denon. If you have patience and pool in a bit more then go for separates. May be pick up and AVR for now by adding a bit more and wait to procure speakers in phases.
Start off as a 2.0 and move up the chain.
If you are fixed on the budget then look for some nice set of sound bar which will give you a better output then some of the entry level HTIB’s