As others have said, ditch eBay and try Craigslist. Audition before you buy and make sure you're not buying someone else's problems.
You said you have a limited budget, but didn't say how much you are willing to spend.
If your power requirements are modest, the already mentioned SX-434 is a nice little entry level receiver. As is the SX-525. If you can afford it, the SX-737 is a fantastic piece that you are less likely to quickly outgrow.
Keep in mind these are 40+ year old receivers that will likely require some maintenance. So, unless you plan to DIY, factor that into your price. Or better still, find one that has already been recalled, had the pots cleaned and bulbs replaced.
It would also help if you listed your location in your profile. Chances are there may be an AK member in your area that will give you a good deal to help you get started in this hobby/obsession that we all share.