Working Across a Large Grid
Start with the 0s and 3s all over the grid, then work outward from each group of lines. On a large grid, several pieces of loop grow at once; keep checking that each dot ends with two lines or none.
Hard Grids and Trial Lines
At Hard, some sides need a trial: draw a line lightly, follow its consequences, and if a number is exceeded or a small loop closes, erase it and cross the side out instead.
After the 7x7 Grids
The 10x10 grids suit solvers who finish the 7x7 grids easily. They print one per page only, so that the dots and lines stay large.