The more people you ask, the more different answers you'll get.
Your Lawyer or an independent Tax Accountant would probably be your best bet to tell you whether any inheritance tax applies, and what, if any Capital Gains tax implications will arise.
Much will depend on your personal tax situation, family status, future planning, and of course the size of the portfolio. If the expected annual dividends were running into $Thousands, you might consider a wider-spread Family Trust, or assign a portion to a spouse with low or no income.
If you're prepared to volunteer more details, ASF members will find it easier to give their opinion.
(Please note: Nobody here will be able or allowed to provide "advice". I'm sure you know that.)