textbook for my undergraduated course

Question

I need a book or more books with a lot (plenty) of exercises , maybe solutions also that could cover entirely my course that is called geometry 2 ,but for sure it will have other denominations . My course is divided in 3 parts and these are topics:

first part general topology

1. topological spaces: construction and examples of subspaces , product , quotients
2. topological propriety: separation, numerability , compactness, ,Arc connectedness, connected spaces
3. topological variety and classificatin of topological compact surfaces

second part :introduction to algebraic topology

4. homotopy of paths and of continuous application .
5. foundamental group and omotopic invariance.
6. van Kampen 's theorem and application .
7. Covering space and relation with foundamental group
8. construction of universal cover

third part :introduction to differential geometry of curves and surfices

9. differential curves in euclidian spaces

10. tangent line, curvature, torsion and rigidity theorem.

11. differential surfeces.

12. tangent plane and first foundamental form .

13. second foundamental form and curvature invariant .

14. gaussian Curvature and egregium theorem .

thanks for reading and for suggestions