LeNoun: I think you are on the right track, I never advise purchasing cheap shaving gear, here are a few things I have learned along the way that I wish I would have known in the beginning.
First purchase two good quality razors- why two because we as new shavers are very hard on our edges, shaving with poor angle control and poor stropping technique will likely take it's toll sooner rather than latter and we need to have an extra razor to shave with while the other is out for honing.
Speaking of razors make sure that the razors you get are shave ready- what does that mean? Honed by someone that KNOWS how to hone. Many new razors come from the manufacture and claim to be sharp but are not and this is not a good way to start.
Get a descent strop to go with your razors as this tool and the skill set that goes with it are very important, good stropping can keep your razors shaving sharp for a good long while between honings.
Just because you are only shaving your neck doesn't mean you can skimp on face prep, the neck is my most challenging area and excellent prep is the precursor to an excellent shave.
Use a high quality soap, there are many, pick one and learn how to use it. A great lather is a necessity.
Don't let all this stuff put you off, it's a fun process and you will find a wonderful community here that are willing to help you along the way.
Oh and by the way WELCOME!