1st system probably lace, remy indian - I would stick to one until you know its for you AND because these places tend to charge steeply. How much are they charging for a piece and cut in?
You can also order a second one online once you have a template and spec. When I order through my online supplier the other bits I fill out to get the most authentic pieces include:
1. bleached knots - all over, front or crown.
2. Lace front
3. base colour
4. grey and its density
5. density at front, crown and elsewhere
6. position of crown
7. freestyle or other
8 straight or wavy hair and the curl
9. all lace or part skin
10. colour of hair - its usually taken from a sample I give
11. poly perimete - all round, back and sides, thickness of poly
12. baby hair
13. european or indian (beware of places that sell korean or chinese hair or pass it off as a different type as the hair structure is all wrong). I know of a salon charging over ?1000 a piece doing this. You wont know until you order though.
14. double or single knots and where
Its quite daunting, but any good supplier worth their price would take you through it all so you are more knowledgeable after they know a little about you (well the supplier I use does).
Sadly, a lot of suppliers either want to keep you in the dark and coming back or they themselves dont consider all these matters and gloss over them.