Based on the brief synopsis, I'd think twice about Access for a few reasons.
1) you seem to have a working tool and haven't complained about its reliability or ease of use
2) Excel is best for 'manipulating' data wherein built in formulas can do all sorts of cross checking and calculations. It is also far superior (IMHO) for charting, although you haven't expressed a need for that.
3) Excel has more functions that might be more suited to what you're doing (e.g. WorkDay, WeekDay, WeekNum, NetWorkDays)
4) A good database demands more planning with the end result already in mind. The design for Excel data is far less stringent, and frankly, many people already have the Excel mindset but less so the Access one.
5) Access is great for data storage and presentation, allowing you to mix and match information within the limits of how it all has been related. However, it is less powerful than Excel for calculation because there are fewer calculation functions. In fact, while one would normally display a calculated result in Excel as though it were data, this is frowned upon in Access.
If you want to expand your knowledge on relational databases, that is a great thing. I just wouldn't can the Excel tool until you were completely satisfied with what you get out of a db version. You might find that as great as db's are, they have the opposite limitations that Excel has. Why not Google something like 'Access vs Excel'? I'm sure you'll get more information than you'll ever need for making a decision. What you'll get are mostly opinions, like this one!
The more we hear silence, the more we begin to think about our value in this universe.
Paraphrase of Professor Brian Cox.