Hi. A word about bouyancy. You will never be truly neutral for more than a second or so, as long as you are breathing. When you breath in you will become more bouyant, an when you breathe out, less. Ideally, neutral would be in the middle of that cycle. Experienced divers can to some extent control their bouyancy by cycling around empty lungs, or cycling expanded lungs, but it is most comfortable to be in the middle. Getting used to the changes in bouyancy caused by breathing is important. You can practice by doing fin pivots on the bottom of your pool. Good fin pivots require you to be slightly negative, so your fins rest on the bottom.
When you have that skill (going up and down based on your lung inflation), cross your legs while sitting on the bottom, add a touch of air to your BC, then see if you can lift off the bottom by fully inflating your lungs. If not, add a touch more air and try again. Eventually you will lift off with fully inflated lungs, and may be ablly to hover by cycling your breathing around the full lungs. Add a touch more air and you can get the cycle point somewhere around the middle of your breathing range. Then fix your eyes on a particular row of tiles and try to hover in the water column. You will go up and down a bit, but with practice can maintain your position. If you can do this in a shallow pool, you should not have any trouble in the ocean, as long as you can see something. If you are in blue water, with practice you can do this just looking at your depth gauge.
For weighting, the advice offered is good, but

remember you will need more in the ocean than in the pool.
Cheers, Tim