We’ve been to Iceland twice; once before and once after MS. We went for my husband’s 50th in the hope of seeing the Northern Lights - but they didn’t come out to play!
It was March when we went and in Reykjavik there wasn’t much snow at all (apparently the pavements are heated with pipes containing geothermal water!) In other areas there was snow but the main tourist paths were clear. However, I would really recommend you take a wheelchair - if you want to walk you can always push it as a walker but at least you have the option if thing get too much
Reykjavik is small place and easy to get around. There’s a lovely big lake which was frozen solid when we were there. The weather during the 5 days we were there was lovely - blue skies but cold. England had loads of snow while we were there, the Icelandic tour guards thought this was really funny. If you’re there a few days I would recommend a trip to Geysir and to Gulfoss. The tours pick up from the majority of hotels, or of course you could hire a car. We drove the 1st time but it was summer. At Geysir there’s a decent path to see the Geysir and it’s not too far (maybe a 5 minute walk at normal speed) Gulfoss was spectacular and much more dramatic in Winter. You can get right down to see it but there’s a lot of steps. There’s a decent viewing platform so you don’t feel as if you’re missing out.
The other place I’d suggest is a swim in Blue Lagoon, it feels really weird swimming outside when it’s so cold. They have a wonderful restaurant which is as you’d expect expensive but all food is pricey. Incidentally they don’t charge for entrance into the tourist attractions or for car parking at places such as Gulfoss and Geysir. So food and trips is all you’ll need spending money for.
As you can maybe tell I’m a big fan of the place, the fact that we didn’t see the lights is fine as it’s the perfect excuse to go back!!
Do consider taking a wheelchair, I wouldn’t want you to miss out.
If you want to know anything else, just let me know.