Totally understand! I have a 14 month old daughter, I was really worried about using public transport at first for all the same reasons, but once you get the hang of it all you realise it was really not worth worrying about. We now frequently use the bus, train and underground without even thinking about it! The buses have 2 allocated spaces for wheelchairs/Prams/pushchairs, but there is only enough room for 2 so u might have to wait for the next bus,so allow extra time, but the driver will let u know. If there is space but the bus is crowded u can ask the driver to let u in by the other set of doors. The slope at the station is fine, I remember there being a couple of steps, but they should be manageable. I have found that nearly all the time on public transport people are great and offer a hand! When my daughter reached about 4 months I bought a fully reclining umbrella style pushchair, it's nice and small for the bus, I can carry it with my daughter in it up and down a few steps and I can even manage the escalators on the tube! Also great for being thrown about when going on holiday. Good luck