When my family was negotiating an oil and gas lease last year, several companies wanted to hand-pick the acreage they leased. We told them "all or none" and stuck to it. As a result, we leased all of our minerals. There are down sides to only leasing part of your minerals or all of your minerals. If you don't lease all your minerals and several bad wells are drilled in your area, it lowers the value of your minerals and interest in leasing. On the other hand, if you only lease part and a great well or two are drilled near you, the value of your minerals go up. This is a decision each mineral owner has to make and it is somewhat like gambling.
In our case, the company wanted certain acreage enough to lease all of our minerals, including noncontiguous acreage. Our land had been unleased for a long time and there hadn''t been any wells drilled in the direct vicinity of our property. We felt that if we didn't go for the "whole enchilada" that we would be leaving too much money on the table and the risk was more than we wanted to take that some great oil wells would be drilled near our acreage.
I recommend that you find a good mineral manager or board certified oil and gas lawyer to negotiate for you. They can accomplish much more than a mineral owner can do on their own. Too much is at stake to try to walk through the minefield by yourself! (We hired a mineral manager and an oil and gas attorney to get our deal done. and it was money well spent.)
Good luck!