I would most likely just search "ios launcher" on the android market, I've seen a lot on there, and some are pretty decent!
As for a cheap android phone, don't go too cheap, android may be cheaper, but there is a reason some are cheaper. I would recommend something like the HTC evo, good screen size if you like ios, a little bit of an older model so it should be cheaper, but also should get the job done. Another option is the Kyocera rise. I used this one for a while. Worked decent for the time that I had it, still use it as a security camera every once in a while. Also there are plenty of cheap phablets unlocked on eBay. Problem is a lot don't have a brand, so its really just a very generic android version and you won't find much help on its hardware anywhere. This means if it starts getting laggy and slow, even the things we can try and help you with may not work, because we do not know the device in question.
Hope this helped you out a bit! Good luck on your next device search!