I suspect as others have said that you would find the tent you linked to too constricting.
I've got a couple of tents, a Terra Nova Laser Photon, which for a while was the lightest tent in the world (until superseded by a newer and even lighter version). It's tiny when packed up, easily fitting in a pannier with other junk, and weighs less than 1kg. It is not very spacious though. I can't really sit up whilst in it, I have to sort of wriggle, which can make getting changed interesting, and there isn't room in the tent for panniers, just the odd stuff sac, or handlebar bag (but there is enough room in the porch). Admittedly I'm rather taller than you, but I think you'd find something like it a bit too much.
My other, older tent, is a Wild Country Ultra Quasar. It's a two man tent, and is reasonably spacious as such, but with one person in it, you can also put your luggage in the tent. It's a four pole geo design, so a hoop over each entrance (two entrances, two bells), and a pair of diagonal hoops. Even I can sit upright in it, and not hit my head on the roof, and the doors can be opened in a variety of ways, which is useful if the wind changes direction after you've pitched. The downside is that it weighs more than twice what the Laser Photon weighs, and even without the poles would take up most of one pannier. The poles won't fit in the pannier, they're too long. Having said that, I've walked all day with it strapped and packed into a rucksack, so it would still be quite possible to use it with a bike, it's just not an ultralightweight tent (nor is it meant to be).
As others have said, really you need to try a tent out to get a feel for it. Some companies like Cotswolds have tent shows, where they basically put several dozen tents up in a field so people can try them out. Looking at their website, it looks like most of the ones vaguely convenient for you have already happened this year.
Cotswold Outdoor Tent ShowsThere may be some outdoor pursuits shows which might be worth visiting, or take up some of the offers from people here to look at their tents. I'll certainly be bringing my Laser Photon to Dunwich, so you can see how small and light it is, and probably how uncomfortable it would make you to lie down in it!
Shops sometimes have tents up indoors, but they rarely have room for more than a couple, so it's hard to see what all the models are like. You can get some idea by marking out the sizes on the floor, but it's hard to get a good feel for the "headroom", which is normally a bit complex because of the weird shape of some tents.
