Capital gains on the sale of a house

My husband and I bought a home together in 2007. In 2013, we changed title to a revocable living trust, with the two of us as trustees. The home has appreciated a great deal.  My husband died in June of 2022 and I will probably sell the home within the next year.  I reside in Colorado.  I believe I can take 1/2 of the FMV as of the day of his death as a "step up".  Do I also receive his $250K exclusion as long as I sell the house within 2 years of his death?  When figuring the capital gains, I have kept good records of all improvements, can I deduct all of these, or only 1/2 of the amount as "my" portion  of the contribution since I will have the step up.  I cannot find any sort of form or worksheet to plan ahead for these issues.  Thank you for any guidance.