Hi. I'll be a wheelchair using Mum soon. I use my chair to some degree most days but thankfully my condition is more controlled than it used to be. The rest of the time I use crutches.
A 1 year old could happily sit on your lap (but TBH I'd have baby in a sling for safety - wheelchairs are bumpier than you think!) but you can also get extention things to attach to a wheelchair to put LO in. You don't have to pay for these though! You can get them from Social Services - adult services. Don't worry though, they're not there to judge your parenting and disability, but to assessyour disability and see what can make your life easier.
Some people who are disabled are also entitled to some degree of free childcare, again through adult services, at a nursery or with a childminder. I don't know much about that though.
Hope this helps?