Recommendations for Late Winter and Spring:

Veteran gardeners or beginners need to review or read a good information source on pruning. How, where, when and why pruning is done is so important to the health of your plants and beauty of your landscape.¹

Late winter before the bush roses start their spring growth is the time to prune. Climbing roses should be pruned right after spring blooming is over, not now. Climbers can be lightly pruned at any time during the growing season to keep them from overgrowing their support.
Don't prune oak trees in the spring or fall; oak trees should be pruned in high summer and high winter. Some arborists recommend painting the cuts after pruning.

Water the plants, as needed.

Leave the foliage on spring flowering bulbs until the foliage dies down.

Turn compost piles; add compost and mulch to established beds.

Divide ornamental grasses and fertilize lawns after April 1^st. Plant sod and seed grasses, compost and mow laws.

Keep an eye out for insects and disease symptoms.

Weed, weed, weed!

¹ Neil Sperry's Complete Guide to Texas Gardening 2nd, pp. 20-23 is an example of a reliable source.