I punched nasturtiums into the google and there's a wealth of info. Plenty of pics if you include 'images' in your search too.
Basically they're a rambling vine type of
plant. They don't attach themselves as they grow though and are easy to cleanup. A herb i believe.
They're used extensively by organic growers as a pest repellant and companion
plant to repel damaging nematodes and eelworm.. The leaves taste a bit peppery and are ok on a roast beef sandwich.
There are colours of red, orange, yellow and probably others. As TKH suggests some like to hang and others tend to stand or climb.
I'd be inclined to get the hanging ones and on the area you're talking about i'd
plant all the same colour together in sections along the wall. More toward the top of the wall. A single colour for say 10' then another different one will have a more eyecatching effect than planting them mixed up. If you can shovel a bit of decent soil into the gaps to get them started and then go along and just push the
seeds in less than an inch you'd be right. You'll need a lot of
seeds. Proably a few hundred. They're the size of a pea and you'll get about 30-50 per packet i reckon. Just check for the germination temps in your area before you
plant them. If the soil is still cold don't water them or they'll rot. Just
plant and wait till it warms. If it rains then you're away. Once they get going they
flower and dump
seeds everywhere. Not all will germinate next year but another shovel full of soil over the top come thaw would certainly help. You can collect the
seeds. Once the first
flowers start to die off they'll be developing and they keep well. Lift the vine and look underneath. There'll be gazzillions of them.