SiS tourney A050 thumb 1x7 to either a 1x10 or 2x7 So I have this cheaper end roadbike sporting a Tourney A050 sis shifters (I don't know what they are called, they are those roadbike shifters sitting on the horizontal handle bar) 1x7, quite a pain. I am quite a noob at upgrading so I wanted your help. I wanted to know: is it possible and how to upgrade to a Deore 1x10? Along with the shifter the cassette and the derailleur do I need to change the wheel and chain too? And is it possible to shift to an integrated brake shifters of any kind? Please explain.
It's unclear whether you have drop bars or a flat bar. Normally 'roadbike' would strongly imply drop style handlebars, but you talk about 'horizontal' bars and are thinking about upgrading to Deore which is a mountain bike groupset. 'Integrated shifters' would normally mean shifters for a drop bar as mountain bikes have moved to separate shifter and brake units. However, the answer is the same.

If you have a 7 speed cluster of sprockets on the rear wheel, you either have an old-style 7 speed freewheel or a 7 speed freehub and cassette. See here for a description of the difference. In either case you will not be able to upgrade to 10 sprockets on the hub. Freewheels only go up to 7 speeds; the freehub body for 7 speeds is slightly shorter that those used for 8, 9 and 10 speeds and cannot accomodate a 10 speed cassette. To get 10 speeds in the rear you would need a new rear wheel with a 10 speed compatible freehub. You would then be able to fit a 10 speed road or mountain groupset. However, at this point you are looking at replacing more than half the bike, so it probably makes more economic sense to look for a used bike with a 1x10 or 2x10 drivetrain.

If you are prepared to stay at 7 speeds in the rear things are a bit easier. the Shimano Tourney line has 3x7 speed shifters for flat bars, Microshift makes Shimano compatible  3x7 road bike integrated shifters/brakes I believe. You could use derailleurs from Shimano's lines above Tourney as 7, 8 and 9 speed derailleurs all use the same actuation ratio. 

Obviously for 10 speed you'd need a 10 speed compatible chain, but if you stick with 7 speed I'd replace the freewheel or cassette and chain as well so you have a complete new drivetrain.