Here are some on Amazon.co.uk ...
The 'A-frame' ones will do the job nicely; I use 'em for, amongst others, a Samick 335 copy, much like your Tanglewood. No need to go out; get one delivered.
What guitar are you wanting to put on a stand..? Electric (model...)..?) Acoustic (Nylon... Jumbo...)..? Bass (Model...)..? I've got about half a dozen stands, for different instruments. What budget do you have..? Where are you..? All these things would help to give better advice.
I got a hercules - fits all my guitars and basses... https://www.amazon.co.uk/HERCULES-GS412BPLUS-AGS-GUITAR-STAND/dp/B07T3R8QTJ/ref=sr_1_3?crid=14C9VWGK1RED6&dchild=1&keywords=hercules+guitar+stands&qid=1587555793&sprefix=hercules%2Caps%2C143&sr=8-3
Stands can be had for relatively little outlay. Much better to be safe than sorry. I would tend to put my guitar on some kind of fabric in a corner somewhere to reduce the chance of it slipping.
No, they're normal. They're not caused by the strings, they're cut in by the luthier, or maker, to allow the string to come out from the bridge at not too sharp an angle. No cause for concern; all is well with that bridge.
Hope this helps.