Agree with 2e0ucw, the TYT MD380 and Retevis RT8 or RT3 are a great starting point with access to both DMR and Analogue on 70cms. You will need access to a PC for adding the code plug to the radio so if you can opt for a programming cable as part of a bundle.
If you are buying from any auction site, please make sure the radio works on the band you require i.e. most repeaters are on UHF but a few are on VHF, Use a seller based in the UK and pay with Paypal. I have found it is easier dealing with UK sellers as you will not be paying VAT and handling charges when importing. Repeater details are here https://www.ukrepeater.net/dmr.htm
if you need to check.
Should you not have coverage at home you can buy a dongle that will get you access via the internet try the Helitron DV4mini USB Stick and others if required.
If you need anything please post here,